Finding the Fourth Proportional to 10,424.77, 14,386.19 and 5,644.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,424.77 : 14,386.19 = 5,644.69 : x
2. Step 2: Convert to fraction form
   10,424.77/14,386.19 = 5,644.69/x
3. Step 3: Cross multiply
   10,424.77x = 14,386.19 × 5,644.69
4. Step 4: Simplify right side
   10,424.77x = 81,205,582.83
5. Step 5: Solve for x
   x = 81,205,582.83/10,424.77
6. Step 6: Final answer
   x = 7,789.68